IGNOU MTE 5 2018 - A rotating liquid forms a surface in the form of a paraboloid. T

Question

A rotating liquid forms a surface in the form of a paraboloid. The surface is 2m deep at the centre and 10m across. Obtain an equation of the surface.

12 Feb 2018

Answer :

Word Count : 303

The equation of the surface formed by a rotating liquid is a paraboloid of revolution. In cylindrical coordinates \((r, \theta, z)\), the equation of a paraboloid is: \[ z = k r^2 \] where: - \( z \) is the depth of the liquid surface, - \( r \) is the radial distance from the center, - \( k \) is

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